Structure of the spectrum of a bloch electron in a magnetic field in a two-dimensional lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 140-149
Voir la notice de l'article provenant de la source Math-Net.Ru
A study is made of the Hamiltonian H of an electron in a
two-dimensional lattice of point potentials in a transverse
magnetic field whose flux is rational. An expansion of H in a
direct integral over a two-dimensional torus of the reciprocal
lattice of operators described by finite-dimensional matrices is
obtained. This expansion is used to investigate the structure of
the spectrum of H, whose continuum eigenfunctions are found.
@article{TMF_1984_61_1_a12,
author = {V. A. Geiler and V. A. Margulis},
title = {Structure of the spectrum of a bloch electron in a magnetic field in a two-dimensional lattice},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {140--149},
publisher = {mathdoc},
volume = {61},
number = {1},
year = {1984},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a12/}
}
TY - JOUR AU - V. A. Geiler AU - V. A. Margulis TI - Structure of the spectrum of a bloch electron in a magnetic field in a two-dimensional lattice JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1984 SP - 140 EP - 149 VL - 61 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a12/ LA - ru ID - TMF_1984_61_1_a12 ER -
%0 Journal Article %A V. A. Geiler %A V. A. Margulis %T Structure of the spectrum of a bloch electron in a magnetic field in a two-dimensional lattice %J Teoretičeskaâ i matematičeskaâ fizika %D 1984 %P 140-149 %V 61 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a12/ %G ru %F TMF_1984_61_1_a12
V. A. Geiler; V. A. Margulis. Structure of the spectrum of a bloch electron in a magnetic field in a two-dimensional lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 140-149. http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a12/